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Finding the Fourth Proportional to 2,241.92, 3,361.92 and 702.56

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Solution

The fourth proportional to 2,241.92, 3,361.92 and 702.56 is: 1,053.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.92 : 3,361.92 = 702.56 : x
  2. Step 2: Convert to fraction form
    2,241.92/3,361.92 = 702.56/x
  3. Step 3: Cross multiply
    2,241.92x = 3,361.92 × 702.56
  4. Step 4: Simplify right side
    2,241.92x = 2,361,950.52
  5. Step 5: Solve for x
    x = 2,361,950.52/2,241.92
  6. Step 6: Final answer
    x = 1,053.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.